Theorems · Theorem · commutative algebra

IsScalarTower.algebraMap_apply

∀ (R : Type u) (S : Type v) (A : Type w) [inst : CommSemiring R] [inst_1 : CommSemiring S] [inst_2 : Semiring A]
  [inst_3 : Algebra R S] [inst_4 : Algebra S A] [inst_5 : Algebra R A] [IsScalarTower R S A] (x : R),
  (algebraMap R A) x = (algebraMap S A) ((algebraMap R S) x)

Defined in

Mathlib.Algebra.Algebra.Tower

Cited by

116 results in Mathlib

Foundations

Depth 20 from the axioms, rests on 206 definitions · uses propext, Quot.sound

Assumes

CommSemiringCommSemiringSemiringAlgebraAlgebraAlgebraIsScalarTower